What is the smallest number by which 392 may be divided so that the quotient is a perfect cube? Also, find the cube root of this quotient
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In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.
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